1st Edition

Mathematical Foundations of Classical Statistical Mechanics

352 Pages
by CRC Press

352 Pages
by CRC Press

This monograph considers systems of infinite number of particles, in particular the justification of the procedure of thermodynamic limit transition. The authors discuss the equilibrium and non-equilibrium states of infinite classical statistical systems. Those states are defined in terms of stationary and nonstationary solutions to the Bogolyubov equations for the sequences of correlation... Read more
Problem for the BBGKY Hierarchy. Equilibrium States. Canonical Ensemble. Equilibrium States. Grand Canonical Ensemble. Thermodynamic Limit for Non-equilibrium Systems. Appendix 1: Stationary Solutions of the BBGKY Hierarchy of Equations. Appendix 2: Existence of the Hamiltonian Dynamics of Infinitely Many Particles. References. Index.

Biography

D.Ya. Petrina, V.I. Gerasimenko, P V Malyshev

"[A] good reference in which many classical and profound results of both equilibrium and nonequilibrium statistical mechanics are collected and presented in a unified way."
- SIAM Review, Vol. 46, No. 1